Mathematics

Topology of 4-Manifolds (PMS-39)

Author: Michael H. Freedman,Frank Quinn

Publisher: Princeton University Press

ISBN: 1400861063

Category: Mathematics

Page: 268

View: 918

One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and Annulus conjectures respectively. Recognition for this work includes the award of the Fields Medal of the International Congress of Mathematicians to Freedman in 1986. In Topology of 4-Manifolds these authors have collaborated to give a complete and accessible account of the current state of knowledge in this field. The basic material has been considerably simplified from the original publications, and should be accessible to most graduate students. The advanced material goes well beyond the literature; nearly one-third of the book is new. This work is indispensable for any topologist whose work includes four dimensions. It is a valuable reference for geometers and physicists who need an awareness of the topological side of the field. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Mathematics

The Wild World of 4-manifolds

Author: Alexandru Scorpan

Publisher: American Mathematical Soc.

ISBN: 0821837494

Category: Mathematics

Page: 609

View: 1989

What a wonderful book! I strongly recommend this book to anyone, especially graduate students, interested in getting a sense of 4-manifolds. --MAA Reviews The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike will enjoy browsing through it. -- Robion C. Kirby, University of California, Berkeley This book offers a panorama of the topology of simply connected smooth manifolds of dimension four. Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but small enough so that there is no room to undo the wildness. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today. To put things in context, the book starts with a survey of higher dimensions and of topological 4-manifolds. In the second part, the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold are investigated. In the third part, as an important source of examples, complex surfaces are reviewed. In the final fourth part of the book, gauge theory is presented; this differential-geometric method has brought to light how unwieldy smooth 4-manifolds truly are, and while bringing new insights, has raised more questions than answers. The structure of the book is modular, organized into a main track of about two hundred pages, augmented by extensive notes at the end of each chapter, where many extra details, proofs and developments are presented. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.
Mathematics

Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42)

Author: Charles Fefferman,Robert Fefferman,Stephen Wainger

Publisher: Princeton University Press

ISBN: 1400852943

Category: Mathematics

Page: 396

View: 5988

This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. Beckner, A. Boggess, J. Bourgain, A. Carbery, M. Christ, R. R. Coifman, S. Dobyinsky, C. Fefferman, R. Fefferman, Y. Han, D. Jerison, P. W. Jones, C. Kenig, Y. Meyer, A. Nagel, D. H. Phong, J. Vance, S. Wainger, D. Watson, G. Weiss, V. Wickerhauser, and T. H. Wolff. The topics of the lectures are: conformally invariant inequalities, oscillatory integrals, analytic hypoellipticity, wavelets, the work of E. M. Stein, elliptic non-smooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space. Originally published in 1995. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Mathematics

The Topology of 4-Manifolds

Author: Robion C. Kirby

Publisher: Springer

ISBN: 354046171X

Category: Mathematics

Page: 112

View: 4293

This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are new or are returbishings of post proofs; all are geometric and make us of handlebody theory. There is a new proof of Rohlin's theorem using spin structures. There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions. The book should be useful to beginning researchers in 4-manifolds.
Mathematics

4-Manifolds

Author: Selman Akbulut

Publisher: Oxford University Press

ISBN: 0191087769

Category: Mathematics

Page: 280

View: 9451

This book presents the topology of smooth 4-manifolds in an intuitive self-contained way, developed over a number of years by Professor Akbulut. The text is aimed at graduate students and focuses on the teaching and learning of the subject, giving a direct approach to constructions and theorems which are supplemented by exercises to help the reader work through the details not covered in the proofs. The book contains a hundred colour illustrations to demonstrate the ideas rather than providing long-winded and potentially unclear explanations. Key results have been selected that relate to the material discussed and the author has provided examples of how to analyse them with the techniques developed in earlier chapters.
Science

Welcome to the Universe

An Astrophysical Tour

Author: Neil deGrasse Tyson,Michael A. Strauss,J. Richard Gott

Publisher: Princeton University Press

ISBN: 1400883229

Category: Science

Page: 480

View: 8348

A NEW YORK TIMES BESTSELLER Welcome to the Universe is a personal guided tour of the cosmos by three of today's leading astrophysicists. Inspired by the enormously popular introductory astronomy course that Neil deGrasse Tyson, Michael A. Strauss, and J. Richard Gott taught together at Princeton, this book covers it all—from planets, stars, and galaxies to black holes, wormholes, and time travel. Describing the latest discoveries in astrophysics, the informative and entertaining narrative propels you from our home solar system to the outermost frontiers of space. How do stars live and die? Why did Pluto lose its planetary status? What are the prospects of intelligent life elsewhere in the universe? How did the universe begin? Why is it expanding and why is its expansion accelerating? Is our universe alone or part of an infinite multiverse? Answering these and many other questions, the authors open your eyes to the wonders of the cosmos, sharing their knowledge of how the universe works. Breathtaking in scope and stunningly illustrated throughout, Welcome to the Universe is for those who hunger for insights into our evolving universe that only world-class astrophysicists can provide.
Business & Economics

Machine Dreams

Economics Becomes a Cyborg Science

Author: Philip Mirowski

Publisher: Cambridge University Press

ISBN: 9780521775267

Category: Business & Economics

Page: 655

View: 4052

This was the first cross-over book into the history of science written by an historian of economics. It shows how 'history of technology' can be integrated with the history of economic ideas. The analysis combines Cold War history with the history of postwar economics in America and later elsewhere, revealing that the Pax Americana had much to do with abstruse and formal doctrines such as linear programming and game theory. It links the literature on 'cyborg' to economics, an element missing in literature to date. The treatment further calls into question the idea that economics has been immune to postmodern currents, arguing that neoclassical economics has participated in the deconstruction of the integral 'self'. Finally, it argues for an alliance of computational and institutional themes, and challenges the widespread impression that there is nothing else besides American neoclassical economic theory left standing after the demise of Marxism.
Science

Scientific Practice and Ordinary Action

Ethnomethodology and Social Studies of Science

Author: Michael Lynch

Publisher: Cambridge University Press

ISBN: 9780521597425

Category: Science

Page: 333

View: 1802

This controversial book disputes the idea that science is the application of a unified method or the outgrowth of a progressive history of ideas.
Computers

Alan Turing: Life and Legacy of a Great Thinker

Author: Christof Teuscher

Publisher: Springer Science & Business Media

ISBN: 3662056429

Category: Computers

Page: 542

View: 1941

Written by a distinguished cast of contributors, Alan Turing: Life and Legacy of a Great Thinker is the definitive collection of essays in commemoration of the 90th birthday of Alan Turing. This fascinating text covers the rich facets of his life, thoughts, and legacy, but also sheds some light on the future of computing science with a chapter contributed by visionary Ray Kurzweil, winner of the 1999 National Medal of Technology. Further, important contributions come from the philosopher Daniel Dennett, the Turing biographer Andrew Hodges, and from the distinguished logician Martin Davis, who provides a first critical essay on an emerging and controversial field termed "hypercomputation".
Science

Physical Relativity

Space-time Structure from a Dynamical Perspective

Author: Harvey R. Brown

Publisher: Oxford University Press on Demand

ISBN: 0199275831

Category: Science

Page: 225

View: 4853

Physical Relativity explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became increasingly uncomfortable with this distinction, and with the limitations of what he called the 'principle theory' approach inspired by the logic of thermodynamics. A handful of physicists and philosophers have over the last century likewise expressed doubts about Einstein'streatment of the relativistic behaviour of rigid bodies and clocks in motion in the kinematical part of his great paper, and suggested that the dynamical understanding of length contraction and time dilation intimated by the immediate precursors of Einstein is more fundamental. Harvey Brown both examines andextends these arguments (which support a more 'constructive' approach to relativistic effects in Einstein's terminology), after giving a careful analysis of key features of the pre-history of relativity theory. He argues furthermore that the geometrization of the theory by Minkowski in 1908 brought illumination, but not a causal explanation of relativistic effects. Finally, Brown tries to show that the dynamical interpretation of special relativity defended in the book is consistent with therole this theory must play as a limiting case of Einstein's 1915 theory of gravity: the general theory of relativity.Appearing in the centennial year of Einstein's celebrated paper on special relativity, Physical Relativity is an unusual, critical examination of the way Einstein formulated his theory. It also examines in detail certain specific historical and conceptual issues that have long given rise to debate in both special and general relativity theory, such as the conventionality of simultaneity, the principle of general covariance, and the consistency or otherwise of the special theory withquantum mechanics. Harvey Brown' s new interpretation of relativity theory will interest anyone working on these central topics in modern physics.
Computers

Availability, Reliability, and Security in Information Systems and HCI

IFIP WG 8.4, 8.9, TC 5 International Cross-Domain Conference, CD-ARES 2013, Regensburg, Germany, September 2-6, 2013, Proceedings

Author: Alfredo Cuzzocrea,Christian Kittl,Dimitris E. Simos,Edgar Weippl,Lida Xu

Publisher: Springer

ISBN: 3642405118

Category: Computers

Page: 504

View: 432

This book constitutes the refereed proceedings of the IFIP WG 8.4, 8.9, TC 5 International Cross-Domain Conference on Availability, Reliability and Security, CD-ARES 2013, held in Regensburg, Germany, in September 2013. The 21 revised papers presented were carefully reviewed and selected for inclusion in the volume. The papers concentrate on the many aspects of information systems bridging the gap between research results in computer science and the many application fields. They are organized in the following topical sections: economic, ethical, legal, multilingual, organizational and social aspects; context-oriented information integration; data/information management as a service; context-oriented information integration and location-aware computing; security and privacy; risk management and business continuity; and security and privacy and location based applications. Also included are 15 papers from a special session on Human-Computer Interaction and Knowledge Discovery (HCI-KDD 2013).
Social Science

Violent Neoliberalism

Development, Discourse, and Dispossession in Cambodia

Author: S. Springer

Publisher: Springer

ISBN: 1137485337

Category: Social Science

Page: 219

View: 2538

Violent Neoliberalism explores the complex unfolding relationship between neoliberalism and violence. Employing a series of theoretical dialogues on development, discourse and dispossession Cambodia, this study sheds significant empirical light on the vicious implications of free market ideology and practice.
Science

3D Radiative Transfer in Cloudy Atmospheres

Author: Alexander Marshak,Anthony Davis

Publisher: Springer Science & Business Media

ISBN: 3540285199

Category: Science

Page: 686

View: 613

Developments in three-dimensional cloud radiation over the past few decades are assessed and distilled into this contributed volume. Chapters are authored by subject-matter experts who address a broad audience of graduate students, researchers, and anyone interested in cloud-radiation processes in the solar and infrared spectral regions. After two introductory chapters and a section on the fundamental physics and computational techniques, the volume extensively treats two main application areas: the impact of clouds on the Earth's radiation budget, which is an essential aspect of climate modeling; and remote observation of clouds, especially with the advanced sensors on current and future satellite missions.
Technology & Engineering

Operations Research for Unmanned Systems

Author: John Q. Dickmann, Jr.

Publisher: John Wiley & Sons

ISBN: 1118918940

Category: Technology & Engineering

Page: 352

View: 9106

The first edited volume addressing analysis for unmanned vehicles, with focus on operations research rather than engineering • The editors have a unique combination of extensive operational experience and technical expertise • Chapters address a wide-ranging set of examples, domains and applications • Accessible to a general readership and also informative for experts
Medical

The Oxford Handbook of Environmental and Conservation Psychology

Author: Susan D. Clayton

Publisher: Oxford University Press

ISBN: 0199733023

Category: Medical

Page: 700

View: 518

This handbook brings together contributions from experts in environmental and/or conservation psychology to review the current state of research. In addition to summarizing current knowledge, it provides an understanding of the relationship between environmental and conservation psychology, and of the directions in which these interdependent areas of study are heading.
Psychology

Cultural Issues in Psychology

A Student's Handbook

Author: Andrew Stevenson

Publisher: Routledge

ISBN: 1135239843

Category: Psychology

Page: 296

View: 2359

Does our cultural background influence the way we think and feel about ourselves and others? Does our culture affect how we choose our partners, how we define intelligence and abnormality and how we bring up our children? Psychologists have long pondered the relationship between culture and a range of psychological attributes. Cultural Issues In Psychology is an all round student guide to the key studies, theories and controversies which seek to explore human behaviour in a global context. The book explores key controversies in global psychology, such as: Culture: what does it mean and how has it been researched? Relativism and universalism: are they compatible approaches in global research? Ethnocentrism: is psychological research dominated by a few regions of the world? Indigenous psychologies: what are the diverse research traditions from around the world? Research methods and perspectives: how can we compare and contrast cross-cultural psychology and cultural psychology? The book also includes detailed examinations of global research into mainstream areas of psychology, such as social, cognitive and developmental psychology, as well as abnormal psychology. With insightful classroom activities and helpful pedagogical features, this detailed, yet accessibly written book gives introductory-level psychology students access to a concise review of key research, issues, controversies and diverse approaches in the area of culture and psychology.
Mathematics

Mathematics Under the Microscope

Notes on Cognitive Aspects of Mathematical Practice

Author: Alexandre Borovik

Publisher: American Mathematical Soc.

ISBN: 0821847619

Category: Mathematics

Page: 317

View: 1274

The author's goal is to start a dialogue between mathematicians and cognitive scientists. He discusses, from a working mathematician's point of view, the mystery of mathematical intuition: why are certain mathematical concepts more intuitive than others? To what extent does the ``small scale'' structure of mathematical concepts and algorithms reflect the workings of the human brain? What are the ``elementary particles'' of mathematics that build up the mathematical universe? The book is saturated with amusing examples from a wide range of disciplines--from turbulence to error-correcting codes to logic--as well as with just puzzles and brainteasers. Despite the very serious subject matter, the author's approach is lighthearted and entertaining. This is an unusual and unusually fascinating book. Readers who never thought about mathematics after their school years will be amazed to discover how many habits of mind, ideas, and even material objects that are inherently mathematical serve as building blocks of our civilization and everyday life. A professional mathematician, reluctantly breaking the daily routine, or pondering on some resisting problem, will open this book and enjoy a sudden return to his or her young days when mathematics was fresh, exciting, and holding all promises. And do not take the word ``microscope'' in the title too literally: in fact, the author looks around, in time and space, focusing in turn on a tremendous variety of motives, from mathematical ``memes'' (genes of culture) to an unusual life of a Hollywood star. --Yuri I. Manin, Max-Planck Institute of Mathematics, Bonn, and Northwestern University
Religion

God and the Universe

Author: Arthur Gibson

Publisher: Routledge

ISBN: 1136365656

Category: Religion

Page: 404

View: 7541

Ambitious, controversial and absorbing, God and the Universe tackles the highly-charged issue of God's relevance in the light of new scientific thinking on cosmology. Engaging with poststructuralism, ethics, mathematics, and philosophy through the ages, this persuasively argued book reinvigorates religious debate for the new millennium.
Literary Criticism

Critical Terms for Media Studies

Author: W. J. T. Mitchell,Mark B. N. Hansen

Publisher: University of Chicago Press

ISBN: 0226532666

Category: Literary Criticism

Page: 376

View: 488

Communications, philosophy, film and video, digital culture: media studies straddles an astounding array of fields and disciplines and produces a vocabulary that is in equal parts rigorous and intuitive. Critical Terms for Media Studies defines, and at times, redefines, what this new and hybrid area aims to do, illuminating the key concepts behind its liveliest debates and most dynamic topics. Part of a larger conversation that engages culture, technology, and politics, this exciting collection of essays explores our most critical language for dealing with the qualities and modes of contemporary media. Edited by two outstanding scholars in the field, W. J. T. Mitchell and Mark B. N. Hansen, the volume features works by a team of distinguished contributors. These essays, commissioned expressly for this volume, are organized into three interrelated groups: “Aesthetics” engages with terms that describe sensory experiences and judgments, “Technology” offers entry into a broad array of technological concepts, and “Society” opens up language describing the systems that allow a medium to function. A compelling reference work for the twenty-first century and the media that form our experience within it, Critical Terms for Media Studies will engage and deepen any reader’s knowledge of one of our most important new fields.